Alladi Ramakrishnan Hall
Rectangular Billiards and Volumes of Moduli Spaces
Jayadev Athreya
UIUC
In joint work with Eskin and Zorich, we compute quadratic
asymptotics for the number of closed billiard trajectories in right-angled
polygons. The coefficients are ratios of volumes of moduli spaces of
quadratic differentials on the Riemann sphere, which we compute via
combinatorial methods, resolving a conjecture of Kontsevich.
Done